49791459600 has 135 divisors (see below), whose sum is σ = 172836669733. Its totient is φ = 13274152320.

The previous prime is 49791459581. The next prime is 49791459611. The reversal of 49791459600 is 695419794.

It is a happy number.

The square root of 49791459600 is 223140.

It is a perfect power (a square), and thus also a powerful number.

49791459600 is a `hidden beast` number, since 49 + 7 + 9 + 1 + 4 + 596 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17924925456 + 31866534144 = 133884^2 + 178512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13386541 + ... + 13390259.

Almost surely, 2^49791459600 is an apocalyptic number.

49791459600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49791459600 is the 223140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49791459600

49791459600 is an abundant number, since it is smaller than the sum of its proper divisors (123045210133).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49791459600 is an equidigital number, since it uses as much as digits as its factorization.

49791459600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7462 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 49791459600 in words is "forty-nine billion, seven hundred ninety-one million, four hundred fifty-nine thousand, six hundred".